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Misha Larkins [42]
3 years ago
12

A 0.40 kg block can slide up and down a rough a 10-m-high, 30-m-long slope. At the bottom, a stiff spring with spring constant 8

00 N/m is compressed 0.50 m and used to launch the block up the slope. The friction force on the block from the slope is 1.2 N. What is the speed of the block when it reaches the top of the slope, in m/s
Physics
1 answer:
Paul [167]3 years ago
8 0

Answer:

v=11.135m/s

Explanation:

From the question we are told that

Mass m=0.40kg

Frictional friction f=1.2

Spring constant k=800N/m

Compressed x=0.50

Generally the energy balance equation is mathematically given as

1/2kx^2=f*30+m*g*sin \theta*30+1/2m*v^2

if (sin=10/30-1/3)

1/2(800)(0.5)^2=(1.2)*30+(0.4)*9.8*1/3*30+1/2(0.4)*v^2

100=36+39.2+0.20v^2

v^2=\frac{24.8}{0.20}

v=\sqrt{124}

v=11.135m/s

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Veronika [31]

Answer:

A) 50 seconds

B) 200 m

Explanation:

They are 500 metres apart.

And one of the bike loves at 6 m/s while the other loves at 4 m/s.

A) Let distance of the 6 m/s bike before they meet be x.

Thus, time = x/6

Since time = distance/speed

For the second bike at 4 m/s, his distance covered before they meet will be 500 - x

Thus, time = (500 - x)/4

Now they will meet each other at the same time. Thus;

x/6 = (500 - x)/4

Cross multiply to get;

4x = 3000 - 6x

6x + 4x = 3000

10x = 3000

x = 3000/10

x = 300 m

Thus, time will be;

t = 300/6

t = 50 seconds

B) Distance covered by the slower bike is (500 - x)

Since from a above, x = 300

Thus; distance = 500 - 300 = 200 m

4 0
3 years ago
A jet aircraft is traveling at 262 m/s in horizontal flight. The engine takes in air at a rate of 85.9 kg/s and burns fuel at a
Fittoniya [83]

Answer:

F_T=60132.52N

P=15814852.76W

Explanation:

From the question we are told that

Velocity of aircraft  V=263m/s

Engine air intake rate \triangle M_a=85.9kg/s

Fuel burn rate  \triangle M_f =3.92kg/s

Velocity of exhaust gas V_e =921m/s

Generally the Mass change rate of Rocket is mathematically given by

 \triangle M = \triangle M_a+\triangle M_f

 \triangle M= 85.9+3.92

 \triangle M=89.82kg/s

Generally the Trust of the rocket is given mathematically by

 F_T=(\triangle M *V_e)-(dM_a/dt)*(V)

 F_T=(89.82 *921)-(85.9)*(263)

 F_T=60132.52N

Generally the Rocket's delivered power is mathematically given by

Delivered power P

 P=V*F_T

 P=263*60132.52N

 P=15814852.76W.

8 0
3 years ago
Some strongly electric fish will stun prey by generating an electric current that runs
Bezzdna [24]

Answer: when fish is stunning it's prey it's cause electric shock to the prey that's make it die and be able to be utilized by electric eel(fish generate electric surround)

4 0
3 years ago
Friction, conduction and induction are three ways of creating a static charge on an object. Which method or methods will produce
Agata [3.3K]
Friction as it will move charge (electrons) from one object to another
5 0
3 years ago
What is Index of refraction?
Sphinxa [80]

Refractive Index is the measure of bending of light rays.

Explanation:

  • Index of refraction or Refractive Index is the measurement of the phenomenon exhibited by light rays - bending of light rays when passing from one medium to another.
  • It can also be measured as the ratio between speed of light in vacuum or empty space to that of the speed of light in a given medium.
  • Index of refraction is denoted by n and is calculated by the following formula

n = Speed of light in vacuum/Speed of light in the given medium = c/v

  • It can also be measured using the angle of incidence and angle of refraction.

n = sin i/sin r where i is the angle of incidence and r is the angle of refraction

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4 years ago
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